Details

Time bar (total: 5.9s)

sample33.0ms

Algorithm
intervals
Results
20.0ms345×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
8.8b
(/ (* y (- z t)) a)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
9.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series139.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
51.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune167.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
33.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series874.0ms

Counts
4 → 12
Calls
4 calls:
412.0ms
(cbrt a)
181.0ms
(cbrt a)
187.0ms
(cbrt a)
93.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify71.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0480918
12615741
25001706

prune380.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
17×add-sqr-sqrt
15×prod-exp cbrt-unprod
13×*-un-lft-identity
12×cbrt-undiv div-exp
11×add-cube-cbrt
9×cbrt-prod times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)
35.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

series669.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt a)
188.0ms
(cbrt a)
194.0ms
(cbrt a)
99.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
03921037
12140778
25001751

prune335.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
2.2b
(* (/ 1 (cbrt a)) (* (/ y (cbrt a)) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))))
4.5b
(* (/ y (cbrt a)) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
148×add-exp-log
68×prod-exp
62×add-cbrt-cube
49×div-exp
44×add-sqr-sqrt associate-*l*
43×times-frac
38×cbrt-unprod
36×*-un-lft-identity
34×add-cube-cbrt
28×cbrt-undiv
25×cbrt-prod
11×pow1
10×associate-*r*
7×rec-exp 1-exp
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv unswap-sqr
2×pow1/3 *-commutative
1×distribute-lft-out-- difference-of-squares
Counts
4 → 162
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
51.0ms
(* (/ 1 (cbrt a)) (* (/ y (cbrt a)) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))))
35.0ms
(* (/ y (cbrt a)) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt a)
189.0ms
(cbrt a)
95.0ms
(* (/ 1 (cbrt a)) (* (/ y (cbrt a)) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))))
282.0ms
(* (/ y (cbrt a)) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

simplify126.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
07602573
143182057
250011953

prune548.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes478.0ms

Accuracy

85.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample874.0ms

Algorithm
intervals
Results
555.0ms10615×body80valid